Weight modules for map (super)algebra related to the Virasoro algebra

Abstract

We classify Jet modules for the Lie (super)algebras $\mathfrak{L}=W⋉(\mathfrak{g}\otimes \mathbb{C}[t,t^{-1}])$, where $W$ is the Witt algebra and $\mathfrak{g}$ is a Lie superalgebra with an even diagonlizable derivation. Then we give a concept method to classify all simple cuspidal modules for $\mathfrak{L}$ and the map superalgebras, which are of the form $\mathfrak{L}\otimes R$, where $R$ is a Noetherian unital supercommutative associative superalgebra.

References in corpus (1)

• Simple weight modules with finite-dimensional weight spaces over Witt superalgebras